A possible correlation between cluster lifetime and its number density.

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Title: A possible correlation between cluster lifetime and its number density.
Authors: DEB, SUSHMITA1 (AUTHOR) mail.sushmitadeb@gmail.com, MEDHI, BIMAN J.1 (AUTHOR), BISWAS, SAMRAT1 (AUTHOR)
Source: Journal of Astrophysics & Astronomy. 11/1/2025, Vol. 46 Issue 2, p1-15. 15p.
Subjects: Stellar density (Stellar population), Star clusters, Open clusters of stars, Population density, Astronomical catalogs, Mass loss (Astrophysics), Statistics, Astrophysics
Abstract: In this study, we present our scientific approach to observationally infer possible correlations of the disruption age with the stellar surface density and two-dimensional radius for 200 open star clusters within the solar neighbourhood. A detailed statistical analysis of number density, core and tidal radius, mass, and log(age) has also been presented using the Gaia EDR3 database. The initial mass and disruption time of the individual clusters are calculated using the analytical relations available in the literature, considering the cluster mass loss mechanism due to stellar evolution and tidal interactions. Considering the mass loss models used in this study, we also observe the variation of the initial mass of the star clusters as a function of their present age. We carry out a linear fit for the variation of the cluster disruption time with its number density, which gives an approximate correlation of the form, t dis ∝ ρ o 0.230 ± 0.052 . We also assess this linear relation using statistical correlations, which results in a moderate coefficient value of 0.3903. This statistical correlation and the power law relation illustrate that disruption time increases with the increasing stellar surface density of the cluster. We also observationally and statistically investigate the correlation between the radius and disruption time of the clusters, but no prominent dependence was found between them. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Astrophysics & Astronomy is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: A possible correlation between cluster lifetime and its number density.
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  Data: <searchLink fieldCode="AR" term="%22DEB%2C+SUSHMITA%22">DEB, SUSHMITA</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> mail.sushmitadeb@gmail.com</i><br /><searchLink fieldCode="AR" term="%22MEDHI%2C+BIMAN+J%2E%22">MEDHI, BIMAN J.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22BISWAS%2C+SAMRAT%22">BISWAS, SAMRAT</searchLink><relatesTo>1</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Astrophysics+%26+Astronomy%22">Journal of Astrophysics & Astronomy</searchLink>. 11/1/2025, Vol. 46 Issue 2, p1-15. 15p.
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  Data: <searchLink fieldCode="DE" term="%22Stellar+density+%28Stellar+population%29%22">Stellar density (Stellar population)</searchLink><br /><searchLink fieldCode="DE" term="%22Star+clusters%22">Star clusters</searchLink><br /><searchLink fieldCode="DE" term="%22Open+clusters+of+stars%22">Open clusters of stars</searchLink><br /><searchLink fieldCode="DE" term="%22Population+density%22">Population density</searchLink><br /><searchLink fieldCode="DE" term="%22Astronomical+catalogs%22">Astronomical catalogs</searchLink><br /><searchLink fieldCode="DE" term="%22Mass+loss+%28Astrophysics%29%22">Mass loss (Astrophysics)</searchLink><br /><searchLink fieldCode="DE" term="%22Statistics%22">Statistics</searchLink><br /><searchLink fieldCode="DE" term="%22Astrophysics%22">Astrophysics</searchLink>
– Name: Abstract
  Label: Abstract
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  Data: In this study, we present our scientific approach to observationally infer possible correlations of the disruption age with the stellar surface density and two-dimensional radius for 200 open star clusters within the solar neighbourhood. A detailed statistical analysis of number density, core and tidal radius, mass, and log(age) has also been presented using the Gaia EDR3 database. The initial mass and disruption time of the individual clusters are calculated using the analytical relations available in the literature, considering the cluster mass loss mechanism due to stellar evolution and tidal interactions. Considering the mass loss models used in this study, we also observe the variation of the initial mass of the star clusters as a function of their present age. We carry out a linear fit for the variation of the cluster disruption time with its number density, which gives an approximate correlation of the form, t dis ∝ ρ o 0.230 ± 0.052 . We also assess this linear relation using statistical correlations, which results in a moderate coefficient value of 0.3903. This statistical correlation and the power law relation illustrate that disruption time increases with the increasing stellar surface density of the cluster. We also observationally and statistically investigate the correlation between the radius and disruption time of the clusters, but no prominent dependence was found between them. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
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  Data: <i>Copyright of Journal of Astrophysics & Astronomy is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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      – Type: doi
        Value: 10.1007/s12036-025-10101-8
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      – Code: eng
        Text: English
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        PageCount: 15
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      – SubjectFull: Stellar density (Stellar population)
        Type: general
      – SubjectFull: Star clusters
        Type: general
      – SubjectFull: Open clusters of stars
        Type: general
      – SubjectFull: Population density
        Type: general
      – SubjectFull: Astronomical catalogs
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      – SubjectFull: Mass loss (Astrophysics)
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      – SubjectFull: Statistics
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      – SubjectFull: Astrophysics
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      – TitleFull: A possible correlation between cluster lifetime and its number density.
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            NameFull: DEB, SUSHMITA
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            NameFull: MEDHI, BIMAN J.
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            – D: 01
              M: 11
              Text: 11/1/2025
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              Y: 2025
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              Value: 46
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